"32 time zones"

Our society has created a fictional time system of 32 time zones
(24 one-hour offsets and several more half-hour and three-quarter
hour offsets).
--Tognazzini, Bruce (tog at eng.sun.com): "Tog on Interface:
The Myth of Precision", Sun World, volume 6, number 7
(June, 1993), page 100.
A grep in /usr/lib/zoneinfo/* on a SunOS 4.1.1 system failed to show up eight
oddball time zones (see attached). Does anyone know of the origin for the
"32" time zones?
--ado